Formalismo de Stückelberg em teorias de Gauge e modelos do tipo BF

Abstract

We analyse Abelian Higgs and Maxwell-Chern-Simons-Higgs rnodels with a Proca mass term, using the Bogomol'nyi method. We show that, due to the presence of mass terrn, these models do not admit topological vortex solutions. Gauge invariance in the moclels above is restored if we introduce additional fields, in the context of Stückelberg forrnalisrn. Through different gauge choices, this gauge invariance can be fixed. However, we can not obtain topological solutions also. On the other hand, we consider the so-called BFMaxwell model in (3+1) space-time dimensions. After dimensional reduction, we obtain an action which we call Bcp-Maxwell. This three-dimensional action is caracterized by the presence of two topological terms, one of them envolving an antisymmetric tensor and a scalar fields. The other one is equivalent to the BP-Maxwell in D= 4. This allow us to interpret the Klein-Gordon action as a topological perturbation of the Bcp-Maxwell model. ln addition, the gauge invariance of Bcp-Ma.xwell model is restored through the introduction of the Stückelberg fields. We build up variations of the Bcp-Maxwell model, introducing kinetic terms for antisymmetric, vectorial and scalar fields and we show the generation of topological mass for the fields envolved.